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Finding the Fourth Proportional to 768,276.70, 1,152,415.06 and 207,310.30

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Solution

The fourth proportional to 768,276.70, 1,152,415.06 and 207,310.30 is: 310,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,276.70 : 1,152,415.06 = 207,310.30 : x
  2. Step 2: Convert to fraction form
    768,276.70/1,152,415.06 = 207,310.30/x
  3. Step 3: Cross multiply
    768,276.70x = 1,152,415.06 × 207,310.30
  4. Step 4: Simplify right side
    768,276.70x = 238,907,511,813.12
  5. Step 5: Solve for x
    x = 238,907,511,813.12/768,276.70
  6. Step 6: Final answer
    x = 310,965.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.